(a) 6
(b) 9
The units of a whole number is the rightmost digit in the number. For example, if the number is 15678, the units is 8 since that is the rightmost digit. Another example is 25795. The units is 5.
(a) To find the units of the square of -2346,
i. First find the square of (-2346)
(-2346)² = (-2346) x (-2346) = 5503716
ii. Now find the rightmost digit.
The rightmost digit of 5503716 is 6.
Therefore, the units of the square of (-2346) is 6
(b) To find the units of the square of -5677,
i. First find the square of (-5677)
(-5677)² = (-5677) x (-5677) = 32228329
ii. Now find the rightmost digit.
The rightmost digit of 32228329 is 9.
Therefore, the units of the square of (-5677) is 9